There are resources available for this in your region. Look in the telephone book.
Since Chicago is such a large city, you may want to narrow your search to a more specific suburb. There are many websites on which you can rent a dumpster in a specific location such as www.bookadumpster.com and www.budgetdumpster.com if you are looking to save some money.
It really depends. On the person and the type of crate. I think you need to be alot more specsific about that one im afraid. Also depends on the size of the crate. Type of animal..... You get the point. Sorry.
Rentals.com (http://www.rentals.com/Illinois/Chicago/) has listings for Chicago. So does 4 Rent In Chicago (http://4rentchicago.com/) and Oodle (http://apartments.oodle.com/chicago-il/homes-for-rent/).
One of the cheapest places in Chicago to rent a car, is the Rent-A-Car shops with three locations in Chicago. There is also an Alamo in Chicago that has decent prices.
Which Chicago airport? O'Hare, you can rent on the lower level of Terminals 1, 2, and 3. Midway, you can rent on the second level of the Parking Garage.
There are penthouses at the Grand Plaza which is ranked number 1 for places to rent in Chicago. There are also luxury apartments available for rent in Lincoln Park.
There are many places to rent cars in Chicago. You could go to Enterprise, Avis, Zipcar, etc.
Summit tools,O'leary's contractor& equipment supply, sunbelt rentals are a few of the place you can rent a backhoe at in Chicago.
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www.rentals.com has numerous listings for rental housing in Chicago.
You can check with your local real estate agency, local newspaper listings, and free brochures for houses for rent in Chicago. You can also call Chicago's Chamber of Commerce for businesses that can help you find rental housing in Chicago.
Plastic storage crates can be rented from a number of storage companies. Pac-King, Crate Hire UK, and U-Haul, for example, are each known to offer storage crate rental.